Finite Group Databasebeta

← #7712093

Subgroups — #7712093

Order 512.

5288 conjugacy classes of subgroups.

The subgroup lattice has 1783 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59953C212yesmaximal, complemented
2#59944C212yesmaximal, complemented
3#59856C212yesmaximal, complemented
4#59807C212yesmaximal, complemented
5#46118C214yesmaximal, complemented
6#45857C214yesmaximal, complemented
7#39200C211yesmaximal, characteristic, complemented
8#39191C211yesmaximal, characteristic, complemented
9#38965C211yesmaximal, characteristic, complemented
10#38951C211yesmaximal, characteristic, complemented
11#38894C214yesmaximal, complemented
12#38394C214yesmaximal, complemented
13#38219C212yesmaximal, complemented
14#38218C212yesmaximal, complemented
15#38205C212yesmaximal, complemented
16#38204C212yesmaximal, complemented
17#38043C212yesmaximal, complemented
18#38024C212yesmaximal, complemented
19#37627C211yesmaximal, characteristic, complemented
20#37627C211yesmaximal, characteristic, complemented
21#37369C212yesmaximal, complemented
22#37343C212yesmaximal, complemented
23#36635C211yesmaximal, characteristic, complemented
24#36631C211yesmaximal, characteristic, complemented
25#36190C212yesmaximal, complemented
26#36186C211yesmaximal, characteristic, complemented
27#36153C211yesmaximal, characteristic, complemented
28#36144C212yesmaximal, complemented
29#36116C211yesmaximal, characteristic, complemented
30#36100C211yesmaximal, characteristic, complemented
31#35302C212yesmaximal, complemented
32#35263C212yesmaximal, complemented
33#34480C211yesmaximal, characteristic, complemented
34#34480C211yesmaximal, characteristic, complemented
35C2×#2293C211yesmaximal, characteristic, complemented
36C2×#552C2212yes—
37C2×#547C2211yescharacteristic
38C2×#547C2211yescharacteristic
39C2×#546C2212yes—
40C2×#529C2212yes—
41C2×#529C2212yes—
42C2×#525C2212yes—
43C22×C4×D4C2211yescharacteristic
44C22×#117C2212yes—
45#2864C2212yescomplemented
46#2863C2212yescomplemented
47#2863C2212yescomplemented
48#2862C2211yescharacteristic, complemented
49#2861C2212yescomplemented
50#2860C2212yescomplemented
51#2860C2211yescharacteristic, complemented
52#2860C2211yescharacteristic, complemented
53#2859C2211yescharacteristic, complemented
54#2859C2211yescharacteristic, complemented
55#2858C2211yescharacteristic, complemented
56#2857C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2211yescharacteristic
59#2856C2211yescharacteristic
60#2855C2212yes—
61#2855C2212yes—
62#2855C2212yes—
63#2854C2211yescharacteristic
64#2854C2211yescharacteristic
65#2854C2212yes—
66#2854C2212yes—
67#2851C2212yes—
68#2850C2212yes—
69#2848C2212yes—
70#2847C2212yes—
71#2837C2214yescomplemented
72#2837C2214yescomplemented
73#2802C2214yescomplemented
74#2800C2214yescomplemented
75#2783C2214yescomplemented
76#2780C2214yescomplemented
77#2777C2214yescomplemented
78#2773C2214yescomplemented
79#2768C2214yescomplemented
80#2756C2214yescomplemented
81#2754C2214yescomplemented
82#2753C2214yescomplemented
83#2750C2214yescomplemented
84#2749C2214yescomplemented
85#2744C2214yescomplemented
86#2741C2214yescomplemented
87#2740C2214yescomplemented
88#2738C2214yescomplemented
89#2730C2214yescomplemented
90#2726C2214yescomplemented
91#2725C2214yescomplemented
92#2722C2214yescomplemented
93#2715C2214yescomplemented
94#2714C2214yes—
95#2711C2214yescomplemented
96#2707C2214yes—
97#2706C2214yescomplemented
98#2706C2214yescomplemented
99#2705C2214yes—
100#2704C2214yescomplemented
101#2694C2214yes—
102#2691C2214yes—
103#2686C2214yescomplemented
104#2676C2214yes—
105#2651C2214yescomplemented
106#2651C2214yescomplemented
107#2629C2212yescomplemented
108#2629C2212yescomplemented
109#2629C2212yescomplemented
110#2625C2212yescomplemented
111#2625C2212yescomplemented
112#2625C2212yescomplemented
113#2624C2212yes—
114#2624C2212yescomplemented
115#2624C2212yescomplemented
116#2620C2212yes—
117#2620C2212yescomplemented
118#2620C2212yescomplemented
119#2609C2214yescomplemented
120#2609C2214yescomplemented
121#2601C2214yescomplemented
122#2601C2214yescomplemented
123#2592C2212yes—
124#2587C2214yescomplemented
125#2584C2212yescomplemented
126#2582C2212yescomplemented
127#2579C2214yes—
128#2574C2214yescomplemented
129#2569C2214yes—
130#2554C2214yes—
131#2554C2214yescomplemented
132#2552C2211yescharacteristic, complemented
133#2552C2211yescharacteristic, complemented
134#2547C2211yescharacteristic
135#2547C2211yescharacteristic, complemented
136#2542C2211yescharacteristic
137#2542C2211yescharacteristic, complemented
138#2539C2214yes—
139#2538C2212yes—
140#2537C2211yescharacteristic
141#2537C2211yescharacteristic
142#2534C2214yes—
143#2531C2214yescomplemented
144#2531C2214yescomplemented
145#2526C2214yescomplemented
146#2526C2214yescomplemented
147#2522C2214yescomplemented
148#2522C2214yescomplemented
149#2519C2214yescomplemented
150#2512C2212yescomplemented
151#2511C2212yescomplemented
152#2507C2212yescomplemented
153#2506C2212yescomplemented
154#2505C2214yescomplemented
155#2502C2212yescomplemented
156#2498C2214yes—
157#2498C2214yescomplemented
158#2498C2214yescomplemented
159#2497C2212yescomplemented
160#2497C2212yescomplemented
161#2497C2212yescomplemented
162#2496C2212yescomplemented
163#2492C2212yescomplemented
164#2490C2212yes—
165#2490C2214yes—
166#2490C2212yescomplemented
167#2489C2212yescomplemented
168#2487C2214yes—
169#2487C2212yescomplemented
170#2486C2212yes—
171#2486C2212yes—
172#2486C2214yes—
173#2485C2212yescomplemented
174#2485C2214yescomplemented
175#2485C2214yescomplemented
176#2478C2214yescomplemented
177#2471C2214yescomplemented
178#2467C2214yescomplemented
179#2455C2214yes—
180#2454C2212yes—
181#2453C2212yescomplemented
182#2448C2212yes—
183#2447C2212yescomplemented
184#2441C2212yescomplemented
185#2440C2212yescomplemented
186#2438C2214yes—
187#2437C2214yes—
188#2431C2212yescomplemented
189#2428C2212yescomplemented
190#2427C2212yes—
191#2426C2212yes—
192#2426C2212yescomplemented
193#2425C2214yes—
194#2425C2214yes—
195#2424C2214yes—
196#2423C2212yescomplemented
197#2423C2212yescomplemented
198#2423C2212yescomplemented
199#2422C2212yes—
200#2419C2214yes—
201#2418C2214yes—
202#2417C2212yes—
203#2417C2212yes—
204#2417C2212yescomplemented
205#2417C2212yescomplemented
206#2416C2212yes—
207#2416C2212yes—
208#2415C2212yes—
209#2414C2212yes—
210#2413C2214yes—
211#2412C2214yes—
212#2412C2214yes—
213#2412C2214yes—
214#2411C2214yes—
215#2408C2212yes—
216#2407C2212yes—
217#2407C2212yes—
218#2407C2212yes—
219#2376C2214yescomplemented
220#2376C2214yescomplemented
221#2368C2214yescomplemented
222#2365C2211yescharacteristic, complemented
223#2365C2211yescharacteristic, complemented
224#2364C2214yes—
225#2363C2212yes—
226#2363C2214yescomplemented
227#2363C2212yescomplemented
228#2362C2212yescomplemented
229#2361C2212yes—
230#2360C2212yescomplemented
231#2360C2212yescomplemented
232#2354C2211yescharacteristic
233#2354C2211yescharacteristic, complemented
234D4×C4⋊C4C2212yes—
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic, complemented
238#2345C2212yescomplemented
239#2345C2212yescomplemented
240#2344C2212yescomplemented
241#2342C2214yes—
242#2341C2212yes—
243#2341C2212yescomplemented
244#2339C2212yes—
245#2335C2214yescomplemented
246#2335C2214yescomplemented
247#2324C2212yes—
248#2324C2212yescomplemented
249#2324C2212yescomplemented
250#2323C2212yescomplemented
251#2323C2212yescomplemented
252#2323C2212yescomplemented
253#2316C2212yescomplemented
254#2316C2212yescomplemented
255#2316C2212yescomplemented
256#2311C2212yes—
257#2311C2212yescomplemented
258#2311C2212yescomplemented
259C4×C4⋊Q8C2211yescharacteristic, complemented
260C4×C4⋊Q8C2211yescharacteristic, complemented
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×#127C2211yescharacteristic, complemented
263C4×#125C2212yescomplemented
264C4×#124C2212yescomplemented
265C4×C22⋊Q8C2212yes—
266C4×C22⋊Q8C2212yes—
267C4×#121C2211yescharacteristic
268C4×#121C2211yescharacteristic
269C4×#121C2212yes—
270#2295C2212yescomplemented
271#2295C2212yescomplemented
272#2293C2211yescharacteristic
273#2293C2212yes—
274#2293C2211yescharacteristic
275#2293C2211yescharacteristic
276#2293C2211yescharacteristic
277#2293C2211yescharacteristic
278#2293C2212yes—
279#2293C2211yescharacteristic
280#2293C2211yescharacteristic
281#2293C2212yes—
282#2293C2212yes—
283#2293C2211yescharacteristic
284#2293C2212yescomplemented
285#2293C2211yescharacteristic, complemented
286#2293C2211yescharacteristic, complemented
287C2×#390C2211yescharacteristic
288C2×#390C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#388C2212yes—
292C2×#388C2212yes—
293#2285C2212yes—
294#2283C2212yes—
295C2×#380C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#552—48no—
304#547—28no—
305#547—28no—
306#546—48no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311#529—48no—
312#529—48no—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326#525—48no—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×D4—28no—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2311yescharacteristic
382C2×#117—48no—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2314yes—
391C2×#117C2314yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2314yes—
409C22×C22⋊C4C2312yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2312yes—
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#395C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#393C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2311yescharacteristic
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#383C2314yes—
727#382C2312yes—
728#382C2314yes—
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#379C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2314yes—
807C2×#95C2312yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C25C2412yes—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4—42no—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C23×C4—28no—
846C23×C4—28no—
847C23×C4—44no—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2411yescharacteristic
868C4⋊Q8—24no—
869C4⋊Q8—24no—
870C4⋊Q8—42no—
871#127—42no—
872#126—48no—
873#126—44no—
874#126—44no—
875#126—48no—
876#125—44no—
877#125—44no—
878#125—44no—
879#125—44no—
880#125—48no—
881#124—44no—
882#124—44no—
883#124—44no—
884#124—44no—
885#123—216no—
886#123—216no—
887#123—48no—
888#123—44no—
889#123—44no—
890#123—48no—
891#123—48no—
892#123—48no—
893C22⋊Q8—28no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—44no—
898C22⋊Q8—48no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903#121—28no—
904#121—28no—
905#121—24no—
906#121—24no—
907#121—28no—
908#121—48no—
909#121—48no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—44no—
915#120—48no—
916#120—48no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—28no—
928C4×D4—24no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—48no—
936C4×D4—48no—
937C4×D4—48no—
938C4×D4#4118yes—
939#117—44no—
940#117—44no—
941#117—44no—
942#117—44no—
943#117—44no—
944#117—44no—
945#117—44no—
946#117—44no—
947#117—44no—
948#117—44no—
949#117—48no—
950#117—48no—
951#117—44no—
952#117—44no—
953C2×C4⋊C4—28no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—28no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—42no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4—44no—
961C2×C4⋊C4—44no—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C22⋊C4—28no—
1031C2×C22⋊C4—28no—
1032C2×C22⋊C4—44no—
1033C2×C22⋊C4—48no—
1034C2×C22⋊C4—44no—
1035C2×C22⋊C4—44no—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C42—24no—
1101C2×C42—28no—
1102C2×C42—24no—
1103C2×C42—24no—
1104C2×C42—24no—
1105C2×C42—42no—
1106C2×C42—42no—
1107C2×C42—42no—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202C24—24no—
1203C24—24no—
1204C24—24no—
1205C24—24no—
1206C24—42no—
1207C24—42no—
1208C24—42no—
1209C24C2512yes—
1210C24C2512yes—
1211C24C2512yes—
1212C24C2512yes—
1213C24C2511yescharacteristic
1214#41—816no—
1215#41—816no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—24no—
1219C2×Q8—24no—
1220C2×Q8—24no—
1221C2×Q8—24no—
1222C2×Q8—24no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—28no—
1233C2×D4—28no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—416no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4C2×#4114yes—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—28no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—28no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—432no—
1310C22×C4—44no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4C2×#4118yes—
1323C22×C4H(5,𝔽2)14yes—
1324C22×C4H(5,𝔽2)14yes—
1325C22×C42−1+414yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2514yes—
1329C22×C4C2514yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2514yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—28no—
1362C4⋊C4—28no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—28no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—28no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—28no—
1384C4⋊C4—22no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4C2×#4114yes—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4C2×#4118yes—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—24no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—24no—
1504C42—24no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—41no—
1516C42—41no—
1517C42—41no—
1518C42—41no—
1519C42—41no—
1520C42—41no—
1521C42—44no—
1522C42—44no—
1523C42—44no—
1524C42—44no—
1525C42—44no—
1526C42—44no—
1527C42C2×#4114yes—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—48no—
1560C23—48no—
1561C23—48no—
1562C23—48no—
1563C23—84no—
1564C23—84no—
1565C23—84no—
1566C23C22×#4114yes—
1567C23C2×H(5,𝔽2)12yes—
1568C23C2×H(5,𝔽2)12yes—
1569C23C2×2−1+412yes—
1570C23C2611yescharacteristic
1571Q8—48no—
1572Q8—48no—
1573Q8—84no—
1574D4—28no—
1575D4—48no—
1576D4—48no—
1577D4—48no—
1578D4—44no—
1579D4—44no—
1580D4—44no—
1581D4—84no—
1582D4—84no—
1583D4—88no—
1584D4—88no—
1585D4—88no—
1586D4—164no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—28no—
1602C2×C4—28no—
1603C2×C4—216no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—44no—
1668C2×C4—48no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—48no—
1672C2×C4—48no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—48no—
1676C2×C4—48no—
1677C2×C4—48no—
1678C2×C4—48no—
1679C2×C4—88no—
1680C2×C4—84no—
1681C2×C4—88no—
1682C2×C4—88no—
1683C2×C4—164no—
1684C2×C4C22×#4112yes—
1685C2×C4C22×#4114yes—
1686C2×C4C22×#4112yes—
1687C2×C4C22×#4112yes—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4C2×H(5,𝔽2)12yes—
1690C2×C4C2×H(5,𝔽2)12yes—
1691C2×C4C2×H(5,𝔽2)12yes—
1692C2×C4C2×2−1+412yes—
1693C2×C4C2×2−1+412yes—
1694C2×C4#58512yes—
1695C2×C4#58512yes—
1696C2×C4#58512yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—24no—
1704C22—24no—
1705C22—24no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—816no—
1732C22#354814yes—
1733C22C23×#4111yescharacteristic
1734C22C22×H(5,𝔽2)11yescharacteristic
1735C22C22×H(5,𝔽2)11yescharacteristic
1736C22C22×2−1+411yescharacteristic
1737C22C2×#58511yescharacteristic
1738C22C2×#58511yescharacteristic
1739C22C2×#58511yescharacteristic
1740C4—22no—
1741C4—24no—
1742C4—22no—
1743C4—22no—
1744C4—22no—
1745C4—22no—
1746C4—22no—
1747C4—41no—
1748C4—41no—
1749C4—42no—
1750C4—42no—
1751C4—42no—
1752C4—42no—
1753C4—41no—
1754C4—41no—
1755C4—42no—
1756C4—42no—
1757C4—44no—
1758C4—42no—
1759C4—44no—
1760C4—42no—
1761C4—42no—
1762C4—44no—
1763C4—41no—
1764C4—41no—
1765C4—42no—
1766C4—44no—
1767C4—42no—
1768C4#349414yes—
1769C4#351314yes—
1770C2—24no—
1771C2—44no—
1772C2—82no—
1773C2—82no—
1774C2—82no—
1775C2C2×#354811yescharacteristic
1776C2#6275911yescharacteristic
1777C2C2×#351311yescharacteristic
1778C2C2×#349411yescharacteristic
1779C2#6280511yescharacteristic
1780C2#6282311yescharacteristic
1781C2#6283011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59953C2semidirect
2. #59944C2semidirect
3. #59856C2semidirect
4. #59807C2semidirect
5. #46118C2semidirect
6. #45857C2semidirect
7. #39200C2semidirect
8. #39191C2semidirect
9. #38965C2semidirect
10. #38951C2semidirect
11. #38894C2semidirect
12. #38394C2semidirect
13. #38219C2semidirect
14. #38218C2semidirect
15. #38205C2semidirect
16. #38204C2semidirect
17. #38043C2semidirect
18. #38024C2semidirect
19. #37627C2semidirect
20. #37627C2semidirect
21. #37369C2semidirect
22. #37343C2semidirect
23. #36635C2semidirect
24. #36631C2semidirect
25. #36190C2semidirect
26. #36186C2semidirect
27. #36153C2semidirect
28. #36144C2semidirect
29. #36116C2semidirect
30. #36100C2semidirect
31. #35302C2semidirect
32. #35263C2semidirect
33. #34480C2semidirect
34. #34480C2semidirect
35. C2×#2293C2semidirect
45. #2864C22semidirect
46. #2863C22semidirect
47. #2863C22semidirect
48. #2862C22semidirect
49. #2861C22semidirect
50. #2860C22semidirect
51. #2860C22semidirect
52. #2860C22semidirect
53. #2859C22semidirect
54. #2859C22semidirect
55. #2858C22semidirect
71. #2837C22semidirect
72. #2837C22semidirect
73. #2802C22semidirect
74. #2800C22semidirect
75. #2783C22semidirect
76. #2780C22semidirect
77. #2777C22semidirect
78. #2773C22semidirect
79. #2768C22semidirect
80. #2756C22semidirect
81. #2754C22semidirect
82. #2753C22semidirect
83. #2750C22semidirect
84. #2749C22semidirect
85. #2744C22semidirect
86. #2741C22semidirect
87. #2740C22semidirect
88. #2738C22semidirect
89. #2730C22semidirect
90. #2726C22semidirect
91. #2725C22semidirect
92. #2722C22semidirect
93. #2715C22semidirect
95. #2711C22semidirect
97. #2706C22semidirect
98. #2706C22semidirect
100. #2704C22semidirect
103. #2686C22semidirect
105. #2651C22semidirect
106. #2651C22semidirect
107. #2629C22semidirect
108. #2629C22semidirect
109. #2629C22semidirect
110. #2625C22semidirect
111. #2625C22semidirect
112. #2625C22semidirect
114. #2624C22semidirect
115. #2624C22semidirect
117. #2620C22semidirect
118. #2620C22semidirect
119. #2609C22semidirect
120. #2609C22semidirect
121. #2601C22semidirect
122. #2601C22semidirect
124. #2587C22semidirect
125. #2584C22semidirect
126. #2582C22semidirect
128. #2574C22semidirect
131. #2554C22semidirect
132. #2552C22semidirect
133. #2552C22semidirect
135. #2547C22semidirect
137. #2542C22semidirect
143. #2531C22semidirect
144. #2531C22semidirect
145. #2526C22semidirect
146. #2526C22semidirect
147. #2522C22semidirect
148. #2522C22semidirect
149. #2519C22semidirect
150. #2512C22semidirect
151. #2511C22semidirect
152. #2507C22semidirect
153. #2506C22semidirect
154. #2505C22semidirect
155. #2502C22semidirect
157. #2498C22semidirect
158. #2498C22semidirect
159. #2497C22semidirect
160. #2497C22semidirect
161. #2497C22semidirect
162. #2496C22semidirect
163. #2492C22semidirect
166. #2490C22semidirect
167. #2489C22semidirect
169. #2487C22semidirect
173. #2485C22semidirect
174. #2485C22semidirect
175. #2485C22semidirect
176. #2478C22semidirect
177. #2471C22semidirect
178. #2467C22semidirect
181. #2453C22semidirect
183. #2447C22semidirect
184. #2441C22semidirect
185. #2440C22semidirect
188. #2431C22semidirect
189. #2428C22semidirect
192. #2426C22semidirect
196. #2423C22semidirect
197. #2423C22semidirect
198. #2423C22semidirect
204. #2417C22semidirect
205. #2417C22semidirect
219. #2376C22semidirect
220. #2376C22semidirect
221. #2368C22semidirect
222. #2365C22semidirect
223. #2365C22semidirect
226. #2363C22semidirect
227. #2363C22semidirect
228. #2362C22semidirect
230. #2360C22semidirect
231. #2360C22semidirect
233. #2354C22semidirect
237. D4×C4⋊C4C22semidirect
238. #2345C22semidirect
239. #2345C22semidirect
240. #2344C22semidirect
243. #2341C22semidirect
245. #2335C22semidirect
246. #2335C22semidirect
248. #2324C22semidirect
249. #2324C22semidirect
250. #2323C22semidirect
251. #2323C22semidirect
252. #2323C22semidirect
253. #2316C22semidirect
254. #2316C22semidirect
255. #2316C22semidirect
257. #2311C22semidirect
258. #2311C22semidirect
259. C4×C4⋊Q8C22semidirect
260. C4×C4⋊Q8C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×#127C22semidirect
263. C4×#125C22semidirect
264. C4×#124C22semidirect
270. #2295C22semidirect
271. #2295C22semidirect
284. #2293C22semidirect
285. #2293C22semidirect
286. #2293C22semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#599532
#599442
#598562
#598072
#461182
#458572
#392002
#391912
#389652
#389512
#388942
#383942
#382192
#382182
#382052
#382042
#380432
#380242
#376272
#373692
#373432
#366352
#366312
#361902
#361862
#361532
#361442
#361162
#361002
#353022
#352632
#344802
C2×#22932